Academic literature on the topic 'Fisher's equation'

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Journal articles on the topic "Fisher's equation"

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Phillips, Peter C. B. "Econometric Analysis of Fisher's Equation." American Journal of Economics and Sociology 64, no. 1 (2005): 125–68. http://dx.doi.org/10.1111/j.1536-7150.2005.00355.x.

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Cavazzoni, R. "Diffusive approximation of fisher's equation." Computers & Mathematics with Applications 39, no. 9-10 (2000): 101–14. http://dx.doi.org/10.1016/s0898-1221(00)00090-0.

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Broadbridge, P., B. H. Bradshaw, G. R. Fulford, and G. K. Aldis. "Huxley and Fisher equations for gene propagation: An exact solution." ANZIAM Journal 44, no. 1 (2002): 11–20. http://dx.doi.org/10.1017/s1446181100007860.

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AbstractThe derivation of gene-transport equations is re-examined. Fisher's assumptions for a sexually reproducing species lead to a Huxley reaction-diffusion equation, with cubic logistic source term for the gene frequency of a mutant advantageous recessive gene. Fisher's equation more accurately represents the spread of an advantaged mutant strain within an asexual species. When the total population density is not uniform, these reaction-diffusion equations take on an additional non-uniform convection term. Cubic source terms of the Huxley or Fitzhugh-Nagumo type allow special nonclassical s
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Jovanoski, Zlatko, and G. Robinson. "Piecewise linear approximation to Fisher's equation." ANZIAM Journal 53 (August 5, 2012): 465. http://dx.doi.org/10.21914/anziamj.v53i0.5129.

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Liu, Yong. "ON FISHER'S EQUATION WITH A PARAMETER." Acta Mathematica Scientia 9, no. 3 (1989): 241–55. http://dx.doi.org/10.1016/s0252-9602(18)30350-3.

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Zhou, X.-W. "Exp-function method for solving Fisher's equation." Journal of Physics: Conference Series 96 (February 1, 2008): 012063. http://dx.doi.org/10.1088/1742-6596/96/1/012063.

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Rohrhofer, Franz Martin, Stefan Posch, Clemens Gößnitzer, and Bernhard Geiger. "Approximating families of sharp solutions to Fisher's equation with physics-informed neural networks." Computer Physics Communications 307 (November 6, 2024): 109422. https://doi.org/10.1016/j.cpc.2024.109422.

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This paper employs physics-informed neural networks (PINNs) to solve Fisher's equation, a fundamental reaction-diffusion system with both simplicity and significance. The focus is on investigating Fisher's equation under conditions of large reaction rate coefficients, where solutions exhibit steep traveling waves that often present challenges for traditional numerical methods. To address these challenges, a residual weighting scheme is introduced in the network training to mitigate the difficulties associated with standard PINN approaches. Additionally, a specialized network architecture desig
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Usman, Muhammad, Hidayat Ullah Khan, Zareen A. Khan, and Hussam Alrabaiah. "Study of nonlinear generalized Fisher equation under fractional fuzzy concept." AIMS Mathematics 8, no. 7 (2023): 16479–93. http://dx.doi.org/10.3934/math.2023842.

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<abstract><p>Fractional calculus can provide an accurate model of many dynamical systems, which leads to a set of partial differential equations (PDE). Fisher's equation is one of these PDEs. This article focuses on a new method that is used for the analytical solution of Fuzzy nonlinear time fractional generalized Fisher's equation (FNLTFGFE) with a source term. While the uncertainty is considered in the initial condition, the proposed technique supports the process of the solution commencing from the parametric form (double parametric form) of a fuzzy number. Next, a joint mechan
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Dhiman, Neeraj, Amit Chauhan, Mohammad Tamsir, and Anand Chauhan. "Numerical simulation of Fisher's type equation via a collocation technique based on re-defined quintic B-splines." Multidiscipline Modeling in Materials and Structures 16, no. 5 (2020): 1117–30. http://dx.doi.org/10.1108/mmms-09-2019-0166.

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PurposeA collocation technique based on re-defined quintic B-splines over Crank-Nicolson is presented to solve the Fisher's type equation. We take three cases of aforesaid equation. The stability analysis and rate of convergence are also done.Design/methodology/approachThe quintic B-splines are re-defined which are used for space integration. Taylor series expansion is applied for linearization of the nonlinear terms. The discretization of the problem gives up linear system of equations. A Gaussian elimination method is used to solve these systems.FindingsThree examples are taken for analysis.
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Agom, E. U., F. O. Ogunfiditimi, E. V. Bassey, and C. Igiri. "REACTION-DIFFUSION FISHER’S EQUATIONS VIA DECOMPOSITION METHOD." Journal of Computer Science and Applied Mathematics 5, no. 2 (2023): 145–53. http://dx.doi.org/10.37418/jcsam.5.2.7.

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The effect of the source, initial or boundary conditions in the use of Adomian decomposition method (ADM) on nonlinear partial differential equation or nonlinear equation in general is enormous. Sometimes the equation in question result to continuous exact solution in series form, other times it result to discrete approximate analytical solutions. In this paper, we show that continuous exact solitons can be obtained on application of ADM to the Fisher's equation with the deployment Taylor theorem to the terms(s) in question. And, the resulting series is split into the integral equations during
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Dissertations / Theses on the topic "Fisher's equation"

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Snguanyat, Ongorn. "Stochastic modelling of financial time series with memory and multifractal scaling." Thesis, Queensland University of Technology, 2009. https://eprints.qut.edu.au/30240/1/Ongorn_Snguanyat_Thesis.pdf.

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Financial processes may possess long memory and their probability densities may display heavy tails. Many models have been developed to deal with this tail behaviour, which reflects the jumps in the sample paths. On the other hand, the presence of long memory, which contradicts the efficient market hypothesis, is still an issue for further debates. These difficulties present challenges with the problems of memory detection and modelling the co-presence of long memory and heavy tails. This PhD project aims to respond to these challenges. The first part aims to detect memory in a large number of
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Snguanyat, Ongorn. "Stochastic modelling of financial time series with memory and multifractal scaling." Queensland University of Technology, 2009. http://eprints.qut.edu.au/30240/.

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Financial processes may possess long memory and their probability densities may display heavy tails. Many models have been developed to deal with this tail behaviour, which reflects the jumps in the sample paths. On the other hand, the presence of long memory, which contradicts the efficient market hypothesis, is still an issue for further debates. These difficulties present challenges with the problems of memory detection and modelling the co-presence of long memory and heavy tails. This PhD project aims to respond to these challenges. The first part aims to detect memory in a large number of
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Herbert, Geoffrey M. "Stability analysis of the Fisher and Landau-Ginzburg equations." Thesis, University of Warwick, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.307124.

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SILVA, JÚNIOR José Luiz Santos da. "Discussão sobre tamanho de fragmento e efeitos de isolamento com uso da equação Fisher - Kolmogorov." Universidade Federal de Pernambuco, 2011. https://repositorio.ufpe.br/handle/123456789/17739.

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Submitted by Irene Nascimento (irene.kessia@ufpe.br) on 2016-08-24T17:57:59Z No. of bitstreams: 2 license_rdf: 1232 bytes, checksum: 66e71c371cc565284e70f40736c94386 (MD5) dissertaçãosuper_final_(1).pdf: 1088878 bytes, checksum: f1d95f7419b99281751c7ea750e47cf8 (MD5)<br>Made available in DSpace on 2016-08-24T17:57:59Z (GMT). No. of bitstreams: 2 license_rdf: 1232 bytes, checksum: 66e71c371cc565284e70f40736c94386 (MD5) dissertaçãosuper_final_(1).pdf: 1088878 bytes, checksum: f1d95f7419b99281751c7ea750e47cf8 (MD5) Previous issue date: 2011-08-31<br>CAPES<br>Nesta dissertação é apresentad
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Tkachov, Pasha [Verfasser], and Oleksandr [Akademischer Betreuer] Kutovyi. "Front propagation in the non-local Fisher-KPP equation / Pasha Tkachov ; Betreuer: Oleksandr Kutovyi." Bielefeld : Universitätsbibliothek Bielefeld, 2017. http://d-nb.info/1135724598/34.

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Dabrowski, Yoann. "Free entropies, free Fisher information, free stochastic differential equations, with applications to Von Neumann algebras." Thesis, Paris Est, 2010. http://www.theses.fr/2010PEST1015.

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Ce travail étend nos connaissances des entropies libres et des équations différentielles stochastiques (EDS) libres dans trois directions. Dans un premier temps, nous montrons que l'algèbre de von Neumann engendrée par au moins deux autoadjoints ayant une information de Fisher finie n'a pas la propriété $Gamma$ de Murray et von Neumann. C'est un analogue d'un résultat de Voiculescu pour l'entropie microcanonique libre. Dans un second temps, nous étudions des EDS libres à coefficients opérateurs non-bornés (autrement dit des sortes d' EDP stochastiques libres ). Nous montrons la stationnarité d
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Coulon, Chalmin Anne-Charline. "Fast propagation in reaction-diffusion equations with fractional diffusion." Toulouse 3, 2014. http://thesesups.ups-tlse.fr/2427/.

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Cette thèse est consacrée à l'étude du comportement en temps long, et plus précisément de phénomènes de propagation rapide, des équations de réaction-diffusion de type Kisher-KPP avec diffusion fractionnaire. Ces équations modélisent, par exemple, la propagation d'espèces biologiques. Sous certaines hypothèses, la population envahit le milieu et nous voulons comprendre à quelle vitesse cette invasion a lieu. Pour répondre à cette question, nous avons mis en place une nouvelle méthode et nous l'appliquons à différents modèles. Dans une première partie, nous étudions deux problèmes d'évolution c
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Schmitz, Lars [Verfasser], Alexander [Gutachter] Drewitz, and Peter [Gutachter] Mörters. "The front of the randomized Fisher-KPP equation and the parabolic Anderson model / Lars Schmitz ; Gutachter: Alexander Drewitz, Peter Mörters." Köln : Universitäts- und Stadtbibliothek Köln, 2021. http://d-nb.info/1235138755/34.

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Tran, Tat Dat. "Information Geometry and the Wright-Fisher model of Mathematical Population Genetics." Doctoral thesis, Universitätsbibliothek Leipzig, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-90508.

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My thesis addresses a systematic approach to stochastic models in population genetics; in particular, the Wright-Fisher models affected only by the random genetic drift. I used various mathematical methods such as Probability, PDE, and Geometry to answer an important question: \"How do genetic change factors (random genetic drift, selection, mutation, migration, random environment, etc.) affect the behavior of gene frequencies or genotype frequencies in generations?”. In a Hardy-Weinberg model, the Mendelian population model of a very large number of individuals without genetic change factors
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McPherson, Nicola J. "Mathematical models for the control of Argulus foliaceus in UK stillwater trout fisheries." Thesis, University of Stirling, 2013. http://hdl.handle.net/1893/18618.

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Species of Argulus are macro-, ecto-parasites known to infect a wide variety of fish, but in the UK mainly cause problems in rainbow (Oncorhynchus mykiss) and brown trout (Salmo trutta). Argulus foliaceus is estimated to have caused problems in over 25% of stillwater trout fisheries in the UK. While A. foliaceus does not usually cause high levels of mortality, the parasite affects fish welfare, and also makes fish harder to catch due to morbidity and reduced appetite. This can cause severe economic problems for the fishery, resulting in reduced angler attendance due to poor capture rates and t
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Books on the topic "Fisher's equation"

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Parchure, Rajas. Fisher's equation: Some methodological doubts. Gokhale Institute of Politics and Economics, 2009.

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Herbert, Geoffrey M. Stability analysis of the Fisher and Landau-Ginzburg equations. typescript, 1995.

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Pahlke, Keith A. Length conversion equations for sockeye, chinook, chum and coho salmon in southeast Alaska. Alaska Dept. of Fish and Game, Division of Commercial Fisheries, 1989.

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Conrad, Robert Harvey. Conversion equations between fork length and total length for chinook salmon (Oncorhynchus tshawytscha). Northwest Indian Fisheries Commission, 1996.

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Nestler, John M. Simulating population dynamics in an ecosystem context using Coupled Eulerian-Lagrangian Hybrid Models (CEL HYBRID Models). US Army Corps of Engineers, Engineer Research and Development Center, 2000.

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Walsh, Bruce, and Michael Lynch. Theorems of Natural Selection: Results of Price, Fisher, and Robertson. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198830870.003.0006.

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This chapter reviews a number of “theorems” of natural selection. These include exact results (true mathematical theorems): the Robertson-Price identity, Price's general expression for any form of selection response, and the Fisher-Price-Ewens version of Fisher's fundamental theorem. Their generality comes as the cost of usually being very difficult to apply. An important exception is the Robertson-Price identity, which expresses the within-generation change in the mean of a trait as its covariance with relative fitness. This chapter also examines three classic approximations: Fisher's fundame
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Nadin, Gregoire. Asymptotic Spreading for General Heterogeneous Fisher-KPP Type Equations. American Mathematical Society, 2022.

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Epstein, Charles L., and Rafe Mazzeo. Introduction. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691157122.003.0001.

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This book proves the existence, uniqueness and regularity results for a class of degenerate elliptic operators known as generalized Kimura diffusions, which act on functions defined on manifolds with corners. It presents a generalization of the Hopf boundary point maximum principle that demonstrates, in the general case, how regularity implies uniqueness. The book is divided in three parts. Part I deals with Wright–Fisher geometry and the maximum principle; Part II is devoted to an analysis of model problems, and includes degenerate Hölder spaces; and Part III discusses generalized Kimura diff
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Articles on Fixed Income Analysis, Including: Yield , Fisher Equation, Yield to Maturity, Bond Valuation, Bond Duration, Bond Convexity, Curr. Hephaestus Books, 2011.

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American food and game fishes: A popular account of all the species found in America north of the equator, with keys for ready identification, life histories, and methods of capture. W. Briggs, 1994.

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Book chapters on the topic "Fisher's equation"

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Singh, Brajesh Kumar, and Mukesh Gupta. "Numerical Solution of Fisher's Equation by using Fourth-Order Collocation Scheme Based on Modified Cubic B-Splines." In Computing and Simulation for Engineers. CRC Press, 2022. http://dx.doi.org/10.1201/9781003222255-14.

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Sari, Murat. "Fisher’s Equation." In Encyclopedia of Applied and Computational Mathematics. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-540-70529-1_340.

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Gardiner, Geoffrey W. "Irving Fisher’s Equation." In The Evolution of Creditary Structures and Controls. Palgrave Macmillan UK, 2006. http://dx.doi.org/10.1057/9780230288447_10.

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Murray, Jason H., and Richard T. Carson. "Precautionary Heuristic Management and Learning for Data-Poor Fisheries." In Sustainable Resource Development in the 21st Century. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-24823-8_9.

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AbstractFisheries are subject to multiple forms of uncertainty. One of these, parameter uncertainty, has been largely ignored in the fisheries economics literature even though it is known elsewhere (e.g., macroeconomics) to play an important role in models with a similar structure. Parameter uncertainty is particularly important when data series are relatively short. Managing a fishery with incorrect parameter values for the growth function can lead to collapse. The paper models management of a renewable resource with unknown growth parameters and simulates estimation of the key parameters of
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Michaelides, Panayotis G. "The Fisher Equation." In 21 Equations that Shaped the World Economy. Springer Nature Switzerland, 2024. https://doi.org/10.1007/978-3-031-76140-9_9.

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Kitsos, Christos P., and Thomas L. Toulias. "Inequalities for the Fisher’s Information Measures." In Handbook of Functional Equations. Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4939-1246-9_13.

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Klein, André, and Peter Spreij. "On Fisher’s Information Matrix of an ARMA Process." In Stochastic Differential and Difference Equations. Birkhäuser Boston, 1997. http://dx.doi.org/10.1007/978-1-4612-1980-4_21.

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Wazwaz, Abdul-Majid. "Burgers, Fisher and Related Equations." In Nonlinear Physical Science. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-00251-9_17.

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Dimand, Robert W. "Revitalizing the Quantity Theory of Money: From the Fisher Relation to the Fisher Equation." In Irving Fisher. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-05177-8_3.

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Debnath, Lokenath. "Nonlinear Diffusion-Reaction Phenomena, Burgers’ and Fisher’s Equations." In Nonlinear Partial Differential Equations for Scientists and Engineers. Birkhäuser Boston, 1997. http://dx.doi.org/10.1007/978-1-4899-2846-7_8.

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Conference papers on the topic "Fisher's equation"

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Vasquez-Charcape, Yury, Gustavo Jamanca-Lino, David Sanchez-Perez, and Bruno Cevallos. "FISHER-X: AN ENGINEERING CONCEPT TO MONITOR WATER ENVIRONMENTS USING ROBOTIC BIOMIMICRY." In 24th SGEM International Multidisciplinary Scientific GeoConference 2024. STEF92 Technology, 2024. https://doi.org/10.5593/sgem2024/3.1/s12.12.

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Human activities have significantly impacted aquatic ecosystems worldwide, especially in developing countries. Acid mine drainage from mineral extraction and wastewater containing xenobiotics pose substantial threats for lakes and marine ecosystems, introducing heavy metals and increasing antibiotic resistance in pathogenic microbes. Despite the urgent need for effective solutions, many environmental liabilities remain without an adequate mapping unmapped or remediation plan, exacerbating risks for environmental health. To address these challenges, our team proposes FISHER-X, a biomimetic robo
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Greeshma, Nimmagadda, and Soumyendra Singh. "A Novel Approach for Approximating the Dynamics of Fisher's Equation Based on Physics-Informed Neural Networks." In 2024 International Conference on Integrated Circuits, Communication, and Computing Systems (ICIC3S). IEEE, 2024. http://dx.doi.org/10.1109/icic3s61846.2024.10602878.

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Fatima, Nahid. "New homotopy perturbation method for solving nonlinear differential equations and fisher type equation." In 2017 IEEE International Conference on Power, Control, Signals and Instrumentation Engineering (ICPCSI). IEEE, 2017. http://dx.doi.org/10.1109/icpcsi.2017.8391997.

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Frieden, B. Roy. "Fisher information as the basis for relativistic quantum mechanics." In OSA Annual Meeting. Optica Publishing Group, 1990. http://dx.doi.org/10.1364/oam.1990.thk8.

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The Klein–Gordon equation for spinless particles, as well as the Weyl–Pauli and Dirac equations for particles with spin, may be derived from one information-theoretic principle. Consider a gedanken experiment whereby the mean position of a particle in a central force field is to be estimated by means of one position measurement. An efficient (optimum) estimate obeys a condition of minimum Fisher information, or minimum precision, according to the second law of thermodynamics. When the Fisher information is minimized subject to a constraint on the mean-square kinetic energy for the particle, th
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Gülbahar, Sema, Asıf Yokuş, and Doğan Kaya. "Numerical solutions of Fisher’s equation with collocation method." In ADVANCEMENTS IN MATHEMATICAL SCIENCES: Proceedings of the International Conference on Advancements in Mathematical Sciences. AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4930525.

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Singh, Prince, and Pranav Sharma. "Analytical solution of Fisher’s equation using accelerated HPTM." In DIDACTIC TRANSFER OF PHYSICS KNOWLEDGE THROUGH DISTANCE EDUCATION: DIDFYZ 2021. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0080556.

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Mohamed Ridha Al-Fatlawy, Zaniab. "Solving Some Nonlinear Partial Differential Equations by GERFM." In IX. International Scientific Congress of Pure, Applied and Technological Sciences. Rimar Academy, 2023. http://dx.doi.org/10.47832/minarcongress9-5.

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We study using the method of generalized Hexponential rational function method (GERFM) to acquire some exact optical solitons for the dimensionless form of some equations such as (1 + 1) generalized Benjamin–Bona–Mahony (GBBM) equation. To this end, by transformation: 𝑢(𝑥,𝑡) = 𝜓(𝜂), 𝜂 = 𝑘𝑥 − 𝜃𝑡. Where k and θ are constant values, the equations are converted into a nonlinear ODE. Second, the nonlinear ODE is solved according to a linear combination of the given basis functions. In this case, an algebraic equation is constructed. The solution of the nonlinear ODE yields the same solution of the
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Rungpitaxmana, Suchinthra, and Saifon Chaturantabut. "Dimension reduction for systems with parametrized boundaries for Fisher’s equation." In INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2016 (ICCMSE 2016). Author(s), 2016. http://dx.doi.org/10.1063/1.4968762.

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Pant, Rajendra, and Geeta Arora. "Laplace residual power series method to solve Fisher’s differential equation." In 4TH INTERNATIONAL CONFERENCE ON FUNCTIONAL MATERIALS, MANUFACTURING, AND PERFORMANCES: ICFMMP-2023. AIP Publishing, 2025. https://doi.org/10.1063/5.0240157.

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Frieden, B. Roy. "Fisher information as the basis for Maxwell's equations." In OSA Annual Meeting. Optica Publishing Group, 1990. http://dx.doi.org/10.1364/oam.1990.thk5.

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Maxwell's equations maybe derived on an information-theoretic basis. Consider a gedanken experiment whereby the space–time coordinate. An efficient (optimum) estimate obeys a condition of minimum Fisher information, or of minimum precision, according to the second law of thermodynamics. The Fisher information is a simple functional of the probability law governing the space–time coordinates of the photons in the field. This probability law is taken to be the local intensity in the optical sense, i.e., the square of the four-vector potential. The principle of minimum Fisher information states t
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Reports on the topic "Fisher's equation"

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Ahmed, Hoda F. Analytic Approximate Solutions for the 1D and 2D Nonlinear Fractional Diffusion Equations of Fisher Type. "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences, 2020. http://dx.doi.org/10.7546/crabs.2020.03.04.

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